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Cells respond to chemical cues, and the precision with which they can sense these cues is fundamentally limited by the stochastic nature of diffusion and ligand binding. Berg and Purcell famously investigated how well a small sensor in an…

Biological Physics · Physics 2025-03-21 Daniel R. McCusker , David K. Lubensky

In nature, microorganisms must often cope with hostile environmental conditions. To do so they have developed sophisticated cooperative behavior and intricate communication capabilities, such as: direct cell-cell physical interactions via…

Condensed Matter · Physics 2007-05-23 Eshel Ben-Jacob , Inon Cohen , Ido Golding , Yonathan Kozlovsky

Controlling bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. Here, we theoretically examine the transport of bacteria close to surfaces,…

Soft Condensed Matter · Physics 2025-07-08 Edwina F. Yeo , Benjamin J. Walker , Philip Pearce , Mohit P. Dalwadi

Motivated by the observation of non-exponential run-time distributions of bacterial swimmers, we propose a minimal phenomenological model for taxis of active particles whose motion is controlled by an internal clock. The ticking of the…

Biological Physics · Physics 2020-07-23 Luis Gómez Nava , Robert Großmann , Marius Hintsche , Carsten Beta , Fernando Peruani

Kinetic-transport equations that take into account the intra-cellular pathways are now considered as the correct description of bacterial chemotaxis by run and tumble. Recent mathematical studies have shown their interest and their…

Analysis of PDEs · Mathematics 2018-06-13 Benoît Perthame , Weiran Sun , Min Tang

Chemotaxis, the directional locomotion of cells towards a source of a chemical gradient, is an integral part of many biological processes - for example, bacteria motion, single-cell or multicellular organisms development, immune response,…

Analysis of PDEs · Mathematics 2021-03-29 Yishu Gong , Alexander Kiselev

The locomotion of swimming bacteria in simple Newtonian fluids can successfully be described within the framework of low Reynolds number hydrodynamics. The presence of polymers in biofluids generally increases the viscosity, which is…

Soft Condensed Matter · Physics 2019-08-12 Andreas Zöttl , Julia M. Yeomans

Bacterial assemblies exhibit rich collective behaviors that control their biological functions, making them a relevant object of study from an active matter physics perspective. Dense bacterial suspensions self-organize into distinct…

Soft Condensed Matter · Physics 2025-04-08 Martin Maliet , Nicolas Fix-Boulier , Ludovic Berthier , Maxime Deforet

Kinetic-transport equations are, by now, standard models to describe the dynamics of populations of bacteria moving by run-and-tumble. Experimental observations show that bacteria increase their run duration when encountering an increasing…

Analysis of PDEs · Mathematics 2015-03-16 Benoît Perthame , Min Tang , Nicolas Vauchelet

We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for chemosensitive movements set in an arbitrary geometry. We investigate the influence of the geometry on the collective behavior of…

Numerical Analysis · Mathematics 2013-03-12 Francis Filbet , Chang Yang

The survival of many microorganisms, like \textit{Leptospira} or \textit{Spiroplasma} bacteria, can depend on their ability to navigate towards regions of favorable viscosity. While this ability, called viscotaxis, has been observed in…

Soft Condensed Matter · Physics 2018-05-23 Benno Liebchen , Paul Monderkamp , Borge ten Hagen , Hartmut Löwen

Chemotaxis is the process by which cells behave in a way that follows the chemical gradient. Applications to bacteria growth, tissue inflammation, and vascular tumors provide a focus on optimization strategies. Experiments can characterize…

Optimization and Control · Mathematics 2007-07-18 K. Renee Fister , Maeve L. McCarthy

Real-life bacteria often swim in complex fluids, but our understanding of the interactions between bacteria and complex surroundings is still evolving. In this work, rod-like \textit{Bacillus subtilis} swims in a quasi-2D environment with…

We study chemotaxis of a single {\sl E.coli} bacterium in a medium where the nutrient chemical is also undergoing diffusion and its concentration has the form of a Gaussian whose width increases with time. We measure the average first…

Cell Behavior · Quantitative Biology 2015-04-30 Subrata Dev , Sakuntala Chatterjee

Unraveling bacterial strategies for spatial exploration is crucial for understanding the complexity in the organization of life. Bacterial motility determines the spatio-temporal structure of microbial communities, controls infection…

During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tumble phase in which they change their orientation. When…

Analysis of PDEs · Mathematics 2025-05-19 Alain Blaustein

The diffusion of active microscopic organisms in complex environments plays an important role in a wide range of biological phenomena from cell colony growth to single organism transport. Here, we investigate theoretically and…

Fluid Dynamics · Physics 2018-01-16 Juan L. Aragones , Shahrzad Yazdi , Alfredo Alexander-Katz

Nutrient gradients and limitations play a pivotal role in the life of all microbes, both in their natural habitat as well as in artificial, microfluidic systems. Spatial concentration gradients of nutrients in densely packed cell…

Bacteria often traverse confined spaces to perform critical functions in symbiosis, infection, drug delivery, and soil bioremediation. While the canonical run-and-tumble strategy enables exploration, its reliance on constant sensing and…

Biological Physics · Physics 2026-03-04 Viet Sang Doan , Ali Nikkhah , Sangwoo Shin

We demonstrate with experiments and simulations how microscopic self-propelled particles navigate through environments presenting complex spatial features, which mimic the conditions inside cells, living organisms and future lab-on-a-chip…

Biological Physics · Physics 2011-09-22 Giovanni Volpe , Ivo Buttinoni , Dominik Vogt , Hans-Juergen Kuemmerer , Clemens Bechinger
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